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Finding the Fourth Proportional to 5,487.91, 7,570.22 and 3,364.46

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Solution

The fourth proportional to 5,487.91, 7,570.22 and 3,364.46 is: 4,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.91 : 7,570.22 = 3,364.46 : x
  2. Step 2: Convert to fraction form
    5,487.91/7,570.22 = 3,364.46/x
  3. Step 3: Cross multiply
    5,487.91x = 7,570.22 × 3,364.46
  4. Step 4: Simplify right side
    5,487.91x = 25,469,729.72
  5. Step 5: Solve for x
    x = 25,469,729.72/5,487.91
  6. Step 6: Final answer
    x = 4,641.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.